Characteristic |
Beta |
95% CI 1 |
|---|---|---|
| stress_level | -1.4 | -1.5, -1.2 |
| mental_health_history | -1.3 | -1.5, -1.0 |
| stress_level * mental_health_history | 0.69 | 0.51, 0.86 |
| 1
CI = Credible Interval |
||
Model
The Bayesian regression model used is:
\[ \text{Academic Performance} = \beta_0 + \beta_1 \cdot \text{Stress Level} + \beta_2 \cdot \text{Mental Health History} + \beta_3 \cdot (\text{Stress Level} \times \text{Mental Health History}) + \epsilon \]
Where: - \(\beta_0\) is the intercept, - \(\beta_1\) is the effect of Stress Level, - \(\beta_2\) is the effect of Mental Health History, - \(\beta_3\) is the interaction effect between Stress Level and Mental Health History, - \(\epsilon\) represents the residual error.